Finding the Third Proportional to 152,868 and 316,536

Step by Step Solution

1. Step 1: Write the proportion equation
   152,868 : 316,536 = 316,536 : x
2. Step 2: Convert to fraction form
   152,868/316,536 = 316,536/x
3. Step 3: Cross multiply
   152,868x = 316,536 × 316,536
4. Step 4: Simplify right side
   152,868x = 100,195,039,296
5. Step 5: Solve for x
   x = 100,195,039,296/152,868
6. Step 6: Final answer
   x = 655,435.01